DMTCS Proceedings, 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)

Font Size:  Small  Medium  Large
DMTCS Conference vol AE (2005), pp. 193-198

DMTCS

2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)

Stefan Felsner (ed.)

DMTCS Conference Volume AE (2005), pp. 193-198


author: Ross J. Kang, Tobias Müller and Jean-Sébastien Sereni
title: Improper colouring of (random) unit disk graphs
keywords: improper colouring, unit disk graphs, random unit disk graphs, radio channel assignment
abstract: For any graph
G
, the
k
-improper chromatic number
χ
k
(G)
is the smallest number of colours used in a colouring of
G
such that each colour class induces a subgraph of maximum degree
k
. We investigate the ratio of the
k
-improper chromatic number to the clique number for unit disk graphs and random unit disk graphs to extend results of [McRe99, McD03] (where they considered only proper colouring).
  If your browser does not display the abstract correctly (because of the different mathematical symbols) you may look it up in the PostScript or PDF files.
reference: Ross J. Kang and Tobias Müller and Jean-Sébastien Sereni (2005), Improper colouring of (random) unit disk graphs, in 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), Stefan Felsner (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AE, pp. 193-198
bibtex: For a corresponding BibTeX entry, please consider our BibTeX-file.
ps.gz-source: dmAE0138.ps.gz (67 K)
ps-source: dmAE0138.ps (160 K)
pdf-source: dmAE0138.pdf (156 K)

The first source gives you the `gzipped' PostScript, the second the plain PostScript and the third the format for the Adobe accrobat reader. Depending on the installation of your web browser, at least one of these should (after some amount of time) pop up a window for you that shows the full article. If this is not the case, you should contact your system administrator to install your browser correctly.

Due to limitations of your local software, the two formats may show up differently on your screen. If eg you use xpdf to visualize pdf, some of the graphics in the file may not come across. On the other hand, pdf has a capacity of giving links to sections, bibliography and external references that will not appear with PostScript.


Automatically produced on Di Sep 27 10:09:52 CEST 2005 by gustedt

Valid XHTML 1.0 Transitional